Nonlinear Transformation and Non selfsimilar Solution of Conservation Laws
非线性变换和守恒律方程的非自相似解

The author proposes a kind of nonlinear transformation, under which the n dimensional scalar conservation laws and its initial value are transformed into one dimensional situation at the same time. The non-selfsimilar global solution and the expression of elementary wave are obtained. The author also discovers the essential difference and connection between non-selfsimilar and self-similar solutions.